American Institute of Mathematical Sciences

August  2015, 20(6): 1583-1590. doi: 10.3934/dcdsb.2015.20.1583

Extinction in discrete, competitive, multi-species patch models

 1 Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284, United States, United States, United States, United States, United States

Received  November 2013 Revised  December 2014 Published  June 2015

In this paper we extend the results of Franke and Yakubu in [5] for extinction in discrete competitive patch models. For a system of $n$ species on $m$ patches, we define conditions under which one species is a superior competitor" to another and show that this is sufficient for one species to drive another to extinction. We also illustrate the result with an example for three species on three patches.
Citation: David M. Chan, Matt McCombs, Sarah Boegner, Hye Jin Ban, Suzanne L. Robertson. Extinction in discrete, competitive, multi-species patch models. Discrete & Continuous Dynamical Systems - B, 2015, 20 (6) : 1583-1590. doi: 10.3934/dcdsb.2015.20.1583
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